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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">phmath</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Государственного университета просвещения. Серия: Физика-Математика</journal-title><trans-title-group xml:lang="en"><trans-title>Bulletin of Federal State University of Education. Series: Physics and Mathematics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2949-5083</issn><issn pub-type="epub">2949-5067</issn><publisher><publisher-name>Federal State University of Education</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">phmath-392</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>РАЗДЕЛ II. ФИЗИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>SECTION II. PHYSICS</subject></subj-group></article-categories><title-group><article-title>ОПТИКО МЕХАНИЧЕСКАЯ АНАЛОГИЯ И ТРАЕКТОРИЯ КВАНТА</article-title><trans-title-group xml:lang="en"><trans-title>OPTICAL-MECHANICAL ANALOGY AND QUANTUM TRAJECTORY</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Алиев</surname><given-names>Исмаил Новруз</given-names></name><name name-style="western" xml:lang="en"><surname>Aliev</surname><given-names>I. .</given-names></name></name-alternatives><email xlink:type="simple">alievprof@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Самедова</surname><given-names>Зарифа Алышан</given-names></name><name name-style="western" xml:lang="en"><surname>Samedova</surname><given-names>Z. .</given-names></name></name-alternatives><email xlink:type="simple">samezara@b.k.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Московский государственный технический университет им. Н.Э.Баумана</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Bauman Moscow State Technical University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2015</year></pub-date><pub-date pub-type="epub"><day>20</day><month>01</month><year>2023</year></pub-date><volume>0</volume><issue>1</issue><fpage>32</fpage><lpage>36</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Алиев И.Н., Самедова З.А., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Алиев И.Н., Самедова З.А.</copyright-holder><copyright-holder xml:lang="en">Aliev I..., Samedova Z...</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.physmathmgou.ru/jour/article/view/392">https://www.physmathmgou.ru/jour/article/view/392</self-uri><abstract><p>В рамках специфичной модели дисперсионной связи между энергией и импульсом получено уравнение траектории релятивистских частиц (в частности, квантов). Выявлена полная аналогия с уравнениями для классических частиц (полученных из вариационного принципа механики) и лучей (выведенных из принципа Ферма). Сформулирована проблема дальнейшего развития задачи, связанная с конкретизацией вида потенциальной энергии кванта.</p></abstract><trans-abstract xml:lang="en"><p>Equation trajectory relativistic particles (in particular, quanta) received within the specific model of the dispersion relation between the energy and momentum. Revealed a complete analogy with the equations for classical particles (obtained from the variational principle of mechanics) and rays (derived from Fermat's principle). We formulate the problem of further development of the tasks associated with a particular form of the potential energy of the quantum.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>дисперсионное соотношение</kwd><kwd>вариационный принцип механики</kwd><kwd>принцип Ферма</kwd><kwd>dispersion relation</kwd><kwd>the variational principle of mechanics</kwd><kwd>Fermat's principle</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Aliev I.N., Yurchenko S.O. Evolution of Perturbations of ChargedraeMoro Interface between Immiscible Inviscid Fluids in the Interelectrode Gap. Fluid Dynamics, 2010. Vol. 45. № 5. P. 817-826.</mixed-citation><mixed-citation xml:lang="en">Aliev I.N., Yurchenko S.O. Evolution of Perturbations of ChargedraeMoro Interface between Immiscible Inviscid Fluids in the Interelectrode Gap. Fluid Dynamics, 2010. Vol. 45. № 5. 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